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2022 JEE PYQ

Get chapter-wise JEE Main & Advanced questions with solutions

Q JEE MAIN 2022
Let $c, k \in R$. If $f(x)=(c+1) x^2+\left(1-c^2\right) x+2 k$ and $f(x+y)=f(x)+f(y)-x y$, for all $x, y \in R$, then the value of $...
JEE Main Mathematics Hard
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Q JEE MAIN 2022
If $a_1, a_2, a_3 \ldots$. and $b_1, b_2, b_3 \ldots$. are A.P. and $a_1,=2, a_{10}=3, a_1 b_1=1=a_{10} b_{10}$ then $a_4 b_4$ is equal to
JEE Main Mathematics Easy
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Q JEE MAIN 2022
Decarboxylation of all six possible forms of diaminobenzoic acids $\mathrm{C}_6 \mathrm{H}_3\left(\mathrm{NH}_2\right)_2 \mathrm{COOH}$ yields three products A, B and C. Three acids give a product ‘A’,...
JEE Main Chemistry Hard
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Q JEE MAIN 2022
$50 \tan \left(3 \tan ^{-1}\left(\frac{1}{2}\right)+2 \cos ^{-1}\left(\frac{1}{\sqrt{5}}\right)\right)+4 \sqrt{2} \tan \left(\frac{1}{2} \tan ^{-1}(2 \sqrt{2})\right)$ is equal to $\_\_\_\_$
JEE Main Mathematics Easy
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Q JEE MAIN 2022
Let $S=2+\frac{6}{7}+\frac{12}{7^2}+\frac{20}{7^3}+\frac{30}{7^4}+\ldots$. then $4 S$ is equal to
JEE Main Mathematics Medium
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Q JEE MAIN 2022
JEE Main Mathematics Medium
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Q JEE MAIN 2022
If $\int \frac{1}{x} \sqrt{\frac{1-x}{1+x}} d x=g(x)+c, g(1)=0$, then $g\left(\frac{1}{2}\right)$ is equal to :
JEE Main Mathematics Medium
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Q JEE MAIN 2022
Match List I with List II
JEE Main Chemistry Medium
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Q JEE MAIN 2022
Using the rules for significant figures, the correct answer for the expression $\frac{0.02858 \times 0.112}{0.5702}$ will be:
JEE Main Chemistry Easy
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Q JEE MAIN 2022
Let $A$ and $B$ be two $3 \times 3$ matrices such that $A B=I$ and $|A|=\frac{1}{8}$ then $|\operatorname{adj}(\operatorname{Badj}(2 A))|$ is equal to
JEE Main Mathematics Medium
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